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Simplifying 8 + (3X + 3) = X + -1(2X + 1) Reorder the terms: 8 + (3 + 3X) = X + -1(2X + 1) Remove parenthesis around (3 + 3X) 8 + 3 + 3X = X + -1(2X + 1) Combine like terms: 8 + 3 = 11 11 + 3X = X + -1(2X + 1) Reorder the terms: 11 + 3X = X + -1(1 + 2X) 11 + 3X = X + (1 * -1 + 2X * -1) 11 + 3X = X + (-1 + -2X) Reorder the terms: 11 + 3X = -1 + X + -2X Combine like terms: X + -2X = -1X 11 + 3X = -1 + -1X Solving 11 + 3X = -1 + -1X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add 'X' to each side of the equation. 11 + 3X + X = -1 + -1X + X Combine like terms: 3X + X = 4X 11 + 4X = -1 + -1X + X Combine like terms: -1X + X = 0 11 + 4X = -1 + 0 11 + 4X = -1 Add '-11' to each side of the equation. 11 + -11 + 4X = -1 + -11 Combine like terms: 11 + -11 = 0 0 + 4X = -1 + -11 4X = -1 + -11 Combine like terms: -1 + -11 = -12 4X = -12 Divide each side by '4'. X = -3 Simplifying X = -3
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